<u>Given</u>:
The 11th term in a geometric sequence is 48.
The 12th term in the sequence is 192.
The common ratio is 4.
We need to determine the 10th term of the sequence.
<u>General term:</u>
The general term of the geometric sequence is given by
where a is the first term and r is the common ratio.
The 11th term is given is
------- (1)
The 12th term is given by
------- (2)
<u>Value of a:</u>
The value of a can be determined by solving any one of the two equations.
Hence, let us solve the equation (1) to determine the value of a.
Thus, we have;
Dividing both sides by 1048576, we get;
Thus, the value of a is
<u>Value of the 10th term:</u>
The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term , we get;
Thus, the 10th term of the sequence is 12.
This deal is cheap! Well, the answer is 60 cents. To get these problems, divide 10.80 by 18, which is equal to 1.5 a dozen.
The equation you can use is x + 3x = 428 with x as the number of cheeseburgers and 3x the number of hamburgers
you solve for x and get 4x= 428 and x=107
so 321 hamburgers were sold that day.
Let
x-------> the number of fiction books
y-------> the number of nonfiction books.
we know that
-----> equation
-----> equation
Add equation and equation
<u>find the value of y</u>
therefore
<u>the answer is</u>
Part a) the number of fiction books is
Part b) the number of nonfiction books is
Answer:
b) 300in^2
Step-by-step explanation:
area of triangle = base x heigth / 2
10 . x 10 / 2 = 100/2 =50
surface area of one face is 50
there 4 sides so 50 x 4 = 200
and the bottom is length x width = 10 x 10 = 100
100 + 200 = 300